Analysis and Approaches for IBDP Maths Ebook 2 | Page 231

2. Two boys and six girls are standing in a straight line.
(a)
(b)
(c)
Find the number of different arrangements if two boys must stand with each other.
[3]
Find the number of different arrangements if two boys must not stand with each
other.
[2]
Find the number of different arrangements if two boys must stand with each other
and both of them stand on either end.
[3]
3. Suki, Tracy and six other people are sitting at a circular table.
(a)
(b)
Find the total number of possible ways that the eight people can be seated.
[2]
Find the number of possible ways if Suki and Tracy must sit on the opposite sides
of the circular table.
[3]
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4. 10 crystal beads are threaded on a string to form a necklace.
(a)
(b)
Find the total number of possible ways that a necklace can be formed.
[3]
Find the number of possible ways if two of the beads cannot be arranged next to
each other.
[3]
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